EduSahara™ Worksheet

Question 1

1.

In the given figure, the two circles touch each other internally.

Diameter
OB
passes through the centre of the smaller circle.

Find the radius of the outer circle.

(i)

13.65 cm
(ii)

15.65 cm
(iii)

14.65 cm
(iv)

12.65 cm
(v)

16.65 cm

Question 2

2.

In the given figure, ∠FGH = 36.87°, find the value of y =

(i)

54.13°
(ii)

52.13°
(iii)

53.13°
(iv)

55.13°
(v)

51.13°

Question 3

3.

A rectangle having an area 50.00 sq.cm is reduced by a scale factor of 0.11. Find the area of its image.

(i)

8.61 sq.cm
(ii)

2.60 sq.cm
(iii)

7.61 sq.cm
(iv)

1.60 sq.cm
(v)

0.61 sq.cm

Question 4

4.

KLMN is a square and △KLO is an equilateral triangle. Also, △KMP is an equilateral triangle. If area of △KLO is 'a' sq.units, then the area of △KMP is

(i)
1
2

a sq.units
(ii)
2a sq.units
(iii)
1
2

√

3

a sq.units
(iv)
√

3

a sq.units
(v)
a

2

sq.units

Question 5

5.

In the given figure, RS ∥ GH , and median FI bisects RS.

If FG = 19 cm, FR = 10.86 cm and FJ = 10.8 cm, FI =

(i)

20.90 cm
(ii)

18.90 cm
(iii)

16.90 cm
(iv)

19.90 cm
(v)

17.90 cm

Question 6

6.

A triangle having an area 35.89 sq.cm is reduced by a scale factor of 0.20. Find the area of its image.

(i)

0.44 sq.cm
(ii)

1.44 sq.cm
(iii)

2.44 sq.cm
(iv)

3.44 sq.cm
(v)

9.44 sq.cm

Question 7

7.

In the given figure, △ABC is right-angled at B. Also, BD ⟂ AC. If AB = 18 cm, BD = 11.52 cm, then find BC.

(i)

15.00 cm
(ii)

14.00 cm
(iii)

17.00 cm
(iv)

13.00 cm
(v)

16.00 cm

Question 8

8.

A vertical stick
15 m
long casts a shadow of
11 m
long on the ground.

At the same time, a tower casts the shadow
88 m
long on the ground.

Find the height of the tower.

(i)

119 m
(ii)

120 m
(iii)

122 m
(iv)

121 m
(v)

118 m

Question 9

9.

A model of building is made with a scale factor of 1 : 30. Find the volume of the tank on the top of the model if its actual volume is 1728000 cu.cm.

(i)

63.00 cu.cm
(ii)

64.00 cu.cm
(iii)

66.00 cu.cm
(iv)

65.00 cu.cm
(v)

62.00 cu.cm

Question 10

10.

In the given figure, △KLM is isosceles right-angled at L and LN ⟂ MK. ∠LNK =

(i)

∠NKL
(ii)

∠LMN
(iii)

∠KLN
(iv)

∠KLM
(v)

∠NLM

Question 11

11.

Which of the following are true?

a)	Any two quadrilaterals are similar if the corresponding sides are proportional.
b)	Any two quadrilaterals are similar if the corresponding angles are equal.
c)	Any two triangles are similar if the corresponding angles are equal.
d)	Any two triangles are similar if the corresponding sides are proportional.

(i)

{b,c}
(ii)

{b,a,c}
(iii)

{b,a}
(iv)

{a,c,d}
(v)

{b,d}

Question 12

12.

In the given figure, the area of the △LMN is x sq.cm. O,P,Q are the mid-points of the sides MN , NL and LM respectively. The area of the △OPQ is

(i)
2
3

of area of △LMN
(ii)
1
4

of area of △LMN
(iii)
1
3

of area of △LMN
(iv)
1
2

of area of △LMN
(v)
3
4

of area of △LMN

Question 13

13.

In the given figure, △CDE is right-angled at D. Also, DF ⟂ CE. If FE = 14.6 cm, DF = 13.78 cm, then find CF.

(i)

13.00 cm
(ii)

14.00 cm
(iii)

15.00 cm
(iv)

11.00 cm
(v)

12.00 cm

Question 14

14.

In the given figure, ∠FCD = ∠ECF and CF ∥ GE and CD = 18 cm, DF = 8 cm and FE = 7 cm. Find CG

(i)

16.75 cm
(ii)

13.75 cm
(iii)

14.75 cm
(iv)

17.75 cm
(v)

15.75 cm

Question 15

15.

If the ratio of the bases of two triangles is L : M and the ratio of the corresponding heights is N : O , the ratio of their areas in the same order is

(i)

LN : MO
(ii)

MN : LO
(iii)

NO : LM
(iv)

LM : NO
(v)

LO : MN

Question 16

16.

From the given figure and values, find x

(i)

(

117

,

115

)
(ii)

(

116

,

116

)
(iii)

(

115

,

114

)
(iv)

(

117

,

117

)
(v)

(

115

,

115

)

Question 17

17.

In the given figure, three lines l , m and n are such that l ∥ m ∥ n.

Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.

∠AFD =

(i)

∠FDA
(ii)

∠HFE
(iii)

∠FAC
(iv)

∠HAB
(v)

∠FEH

Question 18

18.

In the given figure, △ABC, RS ∥ BC such that

(i)

1
2

√

4
(ii)

1
(iii)

1
2

√

-1
(iv)

1
2

√

2
(v)

1
2

4
√

2

Question 19

19.

In the given figure,
FG
∥
DE
.

(i)

8.25 cm
(ii)

9.25 cm
(iii)

6.25 cm
(iv)

7.25 cm
(v)

5.25 cm

Question 20

20.

In the given figure, points I , J and K are the mid-points of sides GH, HF and FG of △FGH. Which of the following are true?

a)	△FKJ ∼ △FGH
b)	△JIH ∼ △FGH
c)	△KGI ∼ △FGH
d)	△IJK ∼ △FGH
e)	△IKJ ∼ △FGH

(i)

{e,c}
(ii)

{a,b,c,d}
(iii)

{e,d,a}
(iv)

{e,a}
(v)

{e,b}

Question 21

21.

A triangle having an area 49.48 sq.cm is reduced such that the area of its image is 5.39 sq.cm. Find the scale factor.

(i)

8.33
(ii)

2.33
(iii)

0.33
(iv)

1.33
(v)

7.33

Question 22

22.

AB = 18.00 cm, BC = 14.00 cm are the measurements of a rectangular field of land ABCD on a map drawn to a scale of 1 : 16000. Calculate the area of the field.

(i)

6.45 sq.km
(ii)

4.45 sq.km
(iii)

7.45 sq.km
(iv)

5.45 sq.km
(v)

8.45 sq.km

Question 23

23.

In the given figure, △EFG ∼ △OPQ and EF = 11 cm, OP = 15.4 cm.

(i)

145.03 sq.cm
(ii)

146.03 sq.cm
(iii)

143.03 sq.cm
(iv)

144.03 sq.cm
(v)

142.03 sq.cm

Question 24

24.

The perimeters of two similar triangles are 26 cm and 16 cm respectively. If one side of the first triangle is 15 cm, find the length of the corresponding side of the second triangle.

(i)

11.23 cm
(ii)

7.23 cm
(iii)

9.23 cm
(iv)

8.23 cm
(v)

10.23 cm

Question 25

25.

In the given figure, DEF is a triangle and 'O' is a point inside △DEF. The angular bisector of ∠EOD, ∠FOE & ∠DOF meet DE, EF & FD at G, H & I respectively . Then

(i)

DG . EH . FI = OD . OE . OF
(ii)

DG . EH . FI = DE . EF . FD
(iii)

DG . EH . FI = OG . OH . OI
(iv)

DG . EH . FI = GE . HF . ID
(v)

DG . EH . FI = GH . HI . IG

Assignment Key